Finding the Fourth Proportional to 127.67, 175.78 and 116.08

Step by Step Solution

1. Step 1: Write the proportion equation
   127.67 : 175.78 = 116.08 : x
2. Step 2: Convert to fraction form
   127.67/175.78 = 116.08/x
3. Step 3: Cross multiply
   127.67x = 175.78 × 116.08
4. Step 4: Simplify right side
   127.67x = 20,404.54
5. Step 5: Solve for x
   x = 20,404.54/127.67
6. Step 6: Final answer
   x = 159.82